document.write( "Question 1144760: Given 2^m × (1/8)^n = 128 and 4^m ÷ 2^(-4n) = 1/16, find the value of (m-n). \n" ); document.write( "

Algebra.Com's Answer #765948 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( " $\"2%5Em+%2A+%281%2F8%29%5En+=+128\"$
\n" ); document.write( " $\"2%5Em+%2A+%282%5E-3%29%5En+=+2%5E7\"$
\n" ); document.write( " $\"2%5E%28m-3n%29+=+2%5E7\"$
\n" ); document.write( " $\"m-3n+=+7\"$ [1]

\n" ); document.write( " $\"4%5Em+%2F+2%5E%28-4n%29+=+1%2F16\"$
\n" ); document.write( " $\"%282%5E2%29%5Em+%2F+2%5E%28-4n%29+=+2%5E%28-4%29\"$
\n" ); document.write( " $\"2%5E%282m%29+%2A+2%5E%284n%29+=+2%5E%28-4%29\"$
\n" ); document.write( " $\"2%5E%282m%2B4n%29+=+2%5E-4\"$
\n" ); document.write( " $\"2m%2B4n+=+-4\"$ [2]

\n" ); document.write( "[1] and [2] are a pair of linear equations in m and n. Solve the pair of equations by your favorite method and evaluate (m-n). \n" ); document.write( "

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